<span>This is a quadratic equation . We order to equate to zero
</span>2x²<span> – 7 = 9
</span>
2x² - 7-9 = 0
2x² - 16 = 0
This equation is a binomial
2* (x² - 8) = 0
<span>We choose the simplest method . The equation with practice it can be calculated in the memory
</span><span>
The product is equal to 0 if one of the factors is zero
</span>
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8
Answer : x = √8 ∨ x = -√8
Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
Answer:
Polygon, quadrilateral, convex, and equilateral.
Step-by-step explanation:
Find the GCF of both numerator and denominator and then divide both the denominator and numerator by that and you will get the simplified fraction.
Take a look at the picture and note that the same tick marks represent that they are congruent parts.
A. UV is parallel to JL. Yes, this is correct. They are parallel because they don't intersect at any point.
B. UW = 12KL. This is incorrect. The truth is, UW = (1/2)(KL). If this is a typo error and there should've been a '/' in between 1 and 2, then this is acceptable.
C. UW = VW. As you can see, UKVW is a rectangle. They have two pairs of congruent sides. And UW≠VW, so this is incorrect.
D. UV = UK. The diagonal of a rectangle is never equal with one of its sides. So, this is incorrect.
E. JK = 2VW. Since VW=UK and we can see that twice the length of UK is equal to JK, then this is correct.